Answer:
Cos A < 0 in the 3rd and 4th quadrants
Tan A < 0 in the 2nd and 4th quadrants
Explanation:
In trigonometry, we make use of the ACTS initials to get which quadrant has it's sine, cosine or tangent functions as negative or positive.
In quadrant 1, it is denoted by A meaning All of sine, cosine and tangent functions are positive
In quadrant 2, it is denoted by C to mean that only cosine is positive i.e. greater than 0.
In quadrant 3,it is denoted by T to mean that only cosine is positive i.e. greater than 0.
In quadrant 4, it is denoted by S to mean that only sine is positive i.e. greater than 0.
Thus, comparing all above with the question, we can say that;
Cos A < 0 in the 3rd and 4th quadrants
Tan A < 0 in the 2nd and 4th quadrants